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It was recently shown [Phys. Rev. Lett. {\bf 110}, 227201 (2013)] that the critical behavior of the random-field Ising model in three dimensions is ruled by a single universality class. This conclusion was reached only after a proper taming…

Disordered Systems and Neural Networks · Physics 2016-06-21 Nikolaos G. Fytas , Victor Martin-Mayor

The contact process is a simple infection spreading model showcasing an out-of-equilibrium phase transition between a macroscopically active and an inactive phase. Such absorbing state phase transitions are often sensitive to the presence…

Statistical Mechanics · Physics 2025-09-22 Leone V. Luzzatto , Juan Felipe Barrera López , István A. Kovács

Starting from an exact formal identity for the two-state transverse Ising model and using correlation inequalities rigorous upper bounds for the critical temperature and the critical transverse field are obtained which improve effective…

Statistical Mechanics · Physics 2012-05-22 F. S. Sá Barreto , A. L. Mota

We consider extended slow-fast systems of N interacting diffusions. The typical behavior of the empirical density is described by a nonlinear McKean-Vlasov equation depending on , the scaling parameter separating the time scale of the slow…

Analysis of PDEs · Mathematics 2021-08-09 Julien Barré , Cedric Bernardin , Raphaël Chétrite , Yash Chopra , Mauro Mariani

In a recent letter [J. Phys. A26, L801 (1993)], Yaldram et al. studied the critical behaviour of a simple lattice gas model of the CO-NO catalytic reaction. The model exhibits a second order nonequilibrium phase transition from an active…

Condensed Matter · Physics 2009-10-22 Iwan Jensen

Motivated by the study of reversal behaviour of myxobacteria, in this article we are interested in a kinetic model for reversal dynamics, in which particles with directions close to be opposite undergo binary collision resulting in…

Analysis of PDEs · Mathematics 2023-05-22 Amic Frouvelle , Laura Kanzler , Christian Schmeiser

The dynamic magnetization-reversal phenomena in the Ising model under a finite-duration external magnetic field competing with the existing order for $T<T_c^0$ has been discussed. The nature of the phase boundary has been estimated from the…

Statistical Mechanics · Physics 2007-05-23 Arnab Chatterjee , Bikas K. Chakrabarti

We study the critical behavior of a general class of cubic-symmetric spin systems in which disorder preserves the reflection symmetry $s_a\to -s_a$, $s_b\to s_b$ for $b\not= a$. This includes spin models in the presence of random…

Statistical Mechanics · Physics 2011-07-19 Pasquale Calabrese , Andrea Pelissetto , Ettore Vicari

Systems driven far from equilibrium may exhibit anomalous density fluctuations: active matter with orientational order display giant density fluctuations at large scale, while systems of interacting particles close to an absorbing phase…

Statistical Mechanics · Physics 2026-03-23 Sara Dal Cengio , Romain Mari , Eric Bertin

We investigate the one-dimensional Ising model with long-range interactions decaying as $1/r^{1+s}$. In the critical regime, for $1/2 \leq s \leq 1$, this system realizes a family of nontrivial one-dimensional conformal field theories…

High Energy Physics - Theory · Physics 2026-02-04 Dario Benedetti , Edoardo Lauria , Dalimil Mazac , Philine van Vliet

We consider a zero-field Ising model defined on a quasiperiodic graph, the so-called Labyrinth tiling. Exact information about the critical behaviour is obtained from duality arguments and the subclass of models which yield commuting…

Statistical Mechanics · Physics 2007-05-23 Uwe Grimm , Michael Baake , Harald Simon

Driven-dissipative many-body systems are difficult to analyze analytically due to their non-equilibrium dynamics, dissipation and many-body interactions. In this paper, we consider a driven-dissipative infinite-range Ising model with local…

Quantum Gases · Physics 2021-09-08 Daniel A. Paz , Mohammad F. Maghrebi

A common wisdom posits that transports of conserved quantities across clean nonintegrable quantum systems at high temperatures are diffusive when probed from the emergent hydrodynamic regime. We show that this empirical paradigm may alter…

Strongly Correlated Electrons · Physics 2024-09-20 Chun Chen , Yan Chen , Xiaoqun Wang

The inverse problem method is tested for a class of monomer-dimer statistical mechanics models that contain also an attractive potential and display a mean-field critical point at a boundary of a coexistence line. The inversion is obtained…

Statistical Mechanics · Physics 2017-05-24 Pierluigi Contucci , Rachele Luzi , Cecilia Vernia

Non-reciprocal interactions are a generic feature of non-equilibrium systems. We define a non-reciprocal generalization of the kinetic Ising model in one spatial dimension. We solve the model exactly using two different approaches for…

Statistical Mechanics · Physics 2025-04-02 Gabriel Artur Weiderpass , Mayur Sharma , Savdeep Sethi

We study many interacting Brownian particles under a tilted periodic potential. We numerically measure the linear response coefficient of the density field by applying a slowly varying potential transversal to the tilted direction. In…

Statistical Mechanics · Physics 2009-03-02 Takenobu Nakamura , Shin-ichi Sasa

Nonlinear response theory, in contrast to linear cases, involves (dynamical) details, and this makes application to many body systems challenging. From the microscopic starting point we obtain an exact response theory for a small number of…

Statistical Mechanics · Physics 2018-05-09 Urna Basu , Laurent Helden , Matthias Krüger

The emergence of collective oscillations and synchronization is a widespread phenomenon in complex systems. While widely studied in dynamical systems theory, this phenomenon is not well understood in the context of out-of-equilibrium phase…

Statistical Mechanics · Physics 2023-06-06 Dmitry Sinelschikov , Anna Poggialini , Maria Francesca Abbate , Daniele De Martino

Exploiting the entanglement concept within a matrix-product-state based infinite density-matrix renormalization group approach, we show that the spin-density-wave and bond-order-wave ground states of the one-dimensional half-filled extended…

Strongly Correlated Electrons · Physics 2015-08-05 Florian Lange , Satoshi Ejima , Holger Fehske

We develop a new perturbative method for studying any steady states of quantum impurities, in or out of equilibrium. We show that steady-state averages are completely fixed by basic properties of the steady-state (Hershfield's) density…

Strongly Correlated Electrons · Physics 2009-11-13 Benjamin Doyon
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